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Homework Help: Horizontal Plane

  1. Mar 6, 2008 #1
    1. The problem statement, all variables and given/known data
    A plane travelling horizontally passes overhead at a height h at t=0. at time t=t1 a sonic boom i heard.

    b.) Determine the speed of the Plane

    Ma=1/sin(pheta)
    pheta=arctan(h/x)

    Ma=1/sin(arctan h/vt)


    I think i've done it correct up to this point....
    Do i have to find the sin of (arctan h/vt) which is h/vt/ SQRT(h^2-vt^2)..... ???? i dont know how to solve for V ... any help would be appreciated thank you


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 6, 2008 #2

    Dick

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    Science Advisor
    Homework Helper

    You really don't need any angles. Draw the right triangle at time t1. The two sides are h and v*t1. If c is the speed of sound then the hypotenuse is c*t1. Use the pythagorean theorem and solve for v1. The problem is simpler than you think.
     
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